example 1 write the standard equation of the parabola with a focus at f 6 given 4 standard equation of a translated parabola horizontal axis vertex h k focus h p k directrix x h p axis of symmetry y k y k 2 1 unit 1 conic sections section 1 3 the parabola calculator required vertex h k opens left rightopens up down vertex h k focus directrix axis getting a feel for the geometry of parabolas as a varies from a 0 to equation of a parabola given vertex and focus calculator jennarocca 6 graph parabola equation solver jennarocca 1 hw standard equation of a parabola given vertex and focus jennarocca 19 check conic form of a parabola figure b parabola cheat sheet for vertically oriented parabolas focus vertex axis of symmetry and directrix equations of hyperbolas 7 parabolas a parabola is the set of all points in a plane equidistant from a particular line the directrix and a particular point the focus equation of parabola given 3 points the standard vertex form equation of a parabola with a vertex at h write the equation in standard form for each parab chegg com to slope intercept 9846 4fd6 step 3 the equation of the parabola is y x2 21 check for each parabola find the vertex focus directrix and focal length write an equation for the parabola with focus f 0 step 2 because the directrix is x 6 p 6 and 4p 5 given the equation a write the equation in standard form figure 9 a when p 0 displaystyle p 0 p 0 the parabola opens right b when p 0 displaystyle p 0 p 0 the parabola opens left conic sections parabola opening left or right app ti 84 calculator finding the directrix of a parabola given its vertex and focus ellipse image 18 example 3 a parabola with horizontal axis a parabola has the equation 6x step 3 the equation of the parabola is y x2 math ysis quadratic equation finding vertex of quadratic equation in standard form you a parabola is the locus of points equidistant from a point called the focus and a line called the directrix how to find the vertex of a parabola using a ti 84 graphing calculator most viewed thumbnail how to use a graphing calculator to find the vertex of a parabola practice problems prove that the graph of the given equation is a parabola then 8 the how to use a graphing calculator to find the roots of a parabola